Jacobi Ellipsoid
Shape taken by a self-gravitating fluid body rotating at constant velocity Artistic rendering of Haumea, a dwarf planet with triaxial ellipsoid shape. A Jacobi ellipsoid is a triaxial (i.e. scalene) ellipsoid under hydrostatic equilibrium which arises when a self-gravitating, fluid body of uniform density rotates with a constant angular velocity. It is named after the German mathematician Carl Gustav Jacob Jacobi.[1] History [ edit ] Before Jacobi, the Maclaurin spheroid, which was formulate